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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Yong-Yan Cao Lam, J. You-Xian Sun |
| Copyright Year | 2000 |
| Description | Author affiliation: Dept. of Electr. Eng., Virginia Univ., Charlottesville, VA, USA (Yong-Yan Cao) |
| Abstract | The paper is concerned with simultaneous LQ optimal control design for discrete-time and sampled-data systems. First it is shown that discrete-time simultaneous LQ design problem of a set of discrete-time systems can be reduced to solving a set of coupled matrix inequalities. An iterative LMI algorithm is presented to solve the feasibility and the feedback gain. Then simultaneous stabilization and simultaneous LQ optimal control of a set of LTI continuous-time systems is considered via piecewise constant output feedback. It is shown that the design of a periodic piecewise constant feedback gain simultaneously minimizing a set of given continuous-time performance indexes for a set of LTI continuous-time systems can be reduced to that of a constant feedback gain minimizing a set of equivalent discrete-time performance indexes for a set of LTI discrete-time systems. Explicit algorithms for computing the equivalent discrete-time systems and performance indexes are derived. Examples are used to demonstrate the effectiveness of the proposed method. |
| Starting Page | 3690 |
| Ending Page | 3695 |
| File Size | 605125 |
| Page Count | 6 |
| File Format | |
| ISBN | 0780366387 |
| ISSN | 01912216 |
| DOI | 10.1109/CDC.2000.912283 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2000-12-12 |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Optimal control Performance analysis Output feedback Linear matrix inequalities Performance gain Iterative algorithms State feedback Cost function Sampling methods Sun |
| Content Type | Text |
| Resource Type | Article |
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